Parameter Choice Strategies for Multipenalty Regularization

DOI10.1137/130930248zbMath1304.47012OpenAlexW2092363816MaRDI QIDQ2927832

Massimo Fornasier, Sergei V. Pereverzyev, Valeriya Naumova

Publication date: 4 November 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130930248

zbMATH Keywords

discrepancy principlemodel functioncompensatory propertiesmultipenalty regularizationorder-optimal reconstruction

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (12)

Multi-penalty regularization in learning theory ⋮ A new framework for multi-parameter regularization ⋮ Reconstruction of space-dependent potential and/or damping coefficients in the wave equation ⋮ Coupled regularization with multiple data discrepancies ⋮ Multi-task learning via linear functional strategy ⋮ Limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces ⋮ Determination of the fractional order in semilinear subdiffusion equations ⋮ Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory ⋮ Reconstruction of time-dependent coefficients from heat moments ⋮ Automated parameter selection for total variation minimization in image restoration ⋮ Convergence analysis of distributed multi-penalty regularized pairwise learning ⋮ Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization

Uses Software

• Regularization tools

This page was built for publication: Parameter Choice Strategies for Multipenalty Regularization